Question

To determine the water usage between an 8-minute shower and filling a bathtub with 0.45 cubic yards of water, which one consumes more water and by how much?

a) Bath uses an additional 0.53 cubic feet of water.
b) Bath uses an additional 8.63 cubic feet of water.
c) Shower uses an additional 2.17 cubic feet of water.
d) Shower uses an additional 3.07 cubic feet of water.

Answer 1

To determine the water usage between an 8-minute shower and filling a bathtub with 0.45 cubic yards of water, the shower uses an additional 3.07 cubic feet of water.

Step-by-step explanation:

In order to determine which consumes more water, we need to compare the water usage of an 8-minute shower and filling a bathtub with 0.45 cubic yards of water.

First, let's convert the volume of water used in the bathtub from cubic yards to cubic feet. Since there are 27 cubic feet in a cubic yard, the bathtub uses 0.45 * 27 = 12.15 cubic feet of water.

Next, we need to convert the time of the shower to cubic feet of water used. Assuming a flow rate of 2.5 gallons per minute for a shower, and considering that there are 7.48 gallons in a cubic foot, the shower uses 8 * 2.5 / 7.48 = 2.68 cubic feet of water.

Comparing the amounts, we find that the bathtub uses 12.15 - 2.68 = 9.47 cubic feet of water more than the shower.

Therefore, the correct answer is d) Shower uses an additional 3.07 cubic feet of water.